On composition of maximal operator and Bochner-Riesz operator at the critical index

Shrivastava, Saurabh; Shuin, Kalachand

doi:10.1090/proc/14897

On composition of maximal operator and Bochner-Riesz operator at the critical index
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by Saurabh Shrivastava and Kalachand Shuin PDF

Proc. Amer. Math. Soc. 148 (2020), 1545-1554 Request permission

Corrigendum: Proc. Amer. Math. Soc. 149 (2021), 3139-3141.

Abstract:

In this paper we establish sharp weighted estimates for the operator $M\circ \mathcal {B}^{\frac {n-1}{2}}$, where $M$ is the Hardy-Littlewood maximal operator and $\mathcal {B}^{\frac {n-1}{2}}$ is the Bochner-Riesz operator at the critical index.

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